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Fractional-order Modeling of Nuclear Reactor: From Subdiffusive Neutron Transport to Control-oriented Models [electronic resource] : A Systematic Approach / by Vishwesh Vyawahare, Paluri S. V. Nataraj.

By: Vyawahare, Vishwesh [author.].
Contributor(s): Nataraj, Paluri S. V [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: Singapore : Springer Nature Singapore : Imprint: Springer, 2018Edition: 1st ed. 2018.Description: XIX, 200 p. 64 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9789811075872.Subject(s): Computational intelligence | Nuclear engineering | Control engineering | Mathematical models | Computational Intelligence | Nuclear Energy | Control and Systems Theory | Mathematical Modeling and Industrial MathematicsAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 006.3 Online resources: Click here to access online
Contents:
Chapter 1. Fractional Calculus -- Chapter 2. Introduction to Nuclear Reactor Modeling -- Chapter 3. Development and Analysis of Fractional-order Neutron Telegraph Equation -- Chapter 4. Development and Analysis of Fractional-order Point Reactor Kinetics Model -- Chapter 5. Further Developments using Fractional-order Point Reactor Kinetics Model -- Chapter 6. Development and Analysis of Fractional-order Point Reactor Kinetics Models with Reactivity Feedback -- Chapter 7. Development and Analysis of Fractional-order Two-Group Models.
In: Springer Nature eBookSummary: This book addresses the topic of fractional-order modeling of nuclear reactors. Approaching neutron transport in the reactor core as anomalous diffusion, specifically subdiffusion, it starts with the development of fractional-order neutron telegraph equations. Using a systematic approach, the book then examines the development and analysis of various fractional-order models representing nuclear reactor dynamics, ultimately leading to the fractional-order linear and nonlinear control-oriented models. The book utilizes the mathematical tool of fractional calculus, the calculus of derivatives and integrals with arbitrary non-integer orders (real or complex), which has recently been found to provide a more compact and realistic representation to the dynamics of diverse physical systems. Including extensive simulation results and discussing important issues related to the fractional-order modeling of nuclear reactors, the book offers a valuable resource for students and researchers working in the areas of fractional-order modeling and control and nuclear reactor modeling.
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Chapter 1. Fractional Calculus -- Chapter 2. Introduction to Nuclear Reactor Modeling -- Chapter 3. Development and Analysis of Fractional-order Neutron Telegraph Equation -- Chapter 4. Development and Analysis of Fractional-order Point Reactor Kinetics Model -- Chapter 5. Further Developments using Fractional-order Point Reactor Kinetics Model -- Chapter 6. Development and Analysis of Fractional-order Point Reactor Kinetics Models with Reactivity Feedback -- Chapter 7. Development and Analysis of Fractional-order Two-Group Models.

This book addresses the topic of fractional-order modeling of nuclear reactors. Approaching neutron transport in the reactor core as anomalous diffusion, specifically subdiffusion, it starts with the development of fractional-order neutron telegraph equations. Using a systematic approach, the book then examines the development and analysis of various fractional-order models representing nuclear reactor dynamics, ultimately leading to the fractional-order linear and nonlinear control-oriented models. The book utilizes the mathematical tool of fractional calculus, the calculus of derivatives and integrals with arbitrary non-integer orders (real or complex), which has recently been found to provide a more compact and realistic representation to the dynamics of diverse physical systems. Including extensive simulation results and discussing important issues related to the fractional-order modeling of nuclear reactors, the book offers a valuable resource for students and researchers working in the areas of fractional-order modeling and control and nuclear reactor modeling.

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